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gayaneshka [121]
3 years ago
6

A transverse periodic wave is established on a string. The wave is described by the expression y = 0.005 sin(20.0x + 2ft) where

y is in meters when x and t are in meters and seconds, respectively. If the wave travels with a speed of 20.0 m/s, what is its frequency, f?
Physics
1 answer:
Crank3 years ago
6 0

Answer:

f =63.64Hz

Explanation:

The equation of the transverse periodic wave

y = 0.005 sin(20.0x + 2ft)

From the equation we can deduce that

Amplitude A = 0.005

Wave number K = 20

Angular frequency w = 2πf

We are asked to find the frequency (f)

the formular for the wave number is given as K = 2π / lambda

Lambda = 2π/ K

Lamda is the wavelength

= 2 × 3.142 /20

= 0.3142m

The velocity of the wave is expressed as v = frequency × lamba (wavelength)

Frequency = velocity / wavelength

f = 20/ 0.3142

f = 63.65Hz

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Answer:

A'=2A

Explanation:

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When the spring is in its equilibrium position, that is x=0, the object speed its maximum. So, we have:

\frac{k(0)^2}{2}+\frac{mv_{max}^2}{2}=\frac{kA^2}{2}\\A^2=\frac{mv_{max}^2}{k}\\A=\sqrt{\frac{mv_{max}^2}{k}}

In order to double its maximum speed, that is v'{max}=2v_{max}. We have:

A'=\sqrt{\frac{m(v'_{max})^2}{k}}\\A'=\sqrt{\frac{m(2v_{max})^2}{k}}\\A'=\sqrt{\frac{4mv_{max}^2}{k}}\\A'=2\sqrt{\frac{mv_{max}^2}{k}}\\A'=2A

6 0
3 years ago
Hey I need help do animals take in oxygen and give off carbon dioxide or Plants take in oxygen and give off carbon dioxide or pl
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Animals take in oxygen and give off carbon dioxide.

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A jet plane is cruising at 300 m/s when suddenly the pilot turns the engines up to full throttle. After traveling 4.0 km, the je
jenyasd209 [6]
<h2>The answer got is reasonable.</h2>

Explanation:

We have equation of motion v² = u² + 2as

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A point charge is located at the origin of a coordinate system. A positive charge is brought in from infinity to a point. The charges are at distance for given electrical potential energy is 3.34 x  10⁷ m.

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The electric potential energy is the work done by a test charge to bring it from infinity to a particular location.

The electric potential energy is given by the relation,

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Substitute the values into the expression to get the distance between the charges.

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Learn more about  electric potential energy.

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8 0
3 years ago
In which situation will the lowest resistance occur?
MrMuchimi

C. Thick wire and cold temperature.

Explanation:

The resistance of a wire is given by:  R = (ρL)/A

where ρ is the resistivity of the material, L is the length of the wire, A is the cross-sectional area of the wire.

From the formula, we see that the thicker the wire, the larger A, therefore the smaller the resistivity. so, a thick wire will have lower resistivity.

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So, the correct option is thick wire and cold temperature.

7 0
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